Results 1 to 10 of about 29 (18)

Some majorization inequalities for coneigenvalues [PDF]

The Electronic Journal of Linear Algebra, 2012
A new notion of coneigenvalue was introduced by Ikramov in (Kh.D. Ikramov. On pseudo-eigenvalues and singular numbers of a complex square matrix (in Russian). Zap. Nauchn. Semin. POMI, 334:111-120, 2006.). This paper presents some majorization inequalities for coneigen- values, which extend some classical majorization relations for eigenvalues and ...
Hans De Sterck, Minghua Lin
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Some inequalities for coneigenvalues [PDF]

Journal of Inequalities and Applications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
H De Sterck, H Faßender, KD Ikramov, RA Horn, RA Horn, X Zhan, Xiaohui Fu   +6 more
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On the Consimilarity of Split Quaternions and Split Quaternion Matrices

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In this paper, we introduce the concept of consimilarity of split quaternions and split quaternion matrices. In his regard, we examine the solvability conditions and general solutions of the equations and in split quaternions and split quaternion ...
Kösal Hidayet Hüda, Akyiğit Mahmut, Tosun Murat   +2 more
doaj   +2 more sources

On coneigenvalues of quaternion matrices: location and perturbation

Indian Journal of Pure and Applied Mathematics
We have added two examples to illustrate theorems. An error in the statement of a theorem is corrected.
Basavaraju, Pallavi, Hadimani, Shrinath, Jayaraman, Sachindranath   +2 more
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An Algebraic Relation between Consimilarity and Similarity of Quaternion Matrices and Applications

Journal of Applied Mathematics, Volume 2014, Issue 1, 2014., 2014
This paper, by means of complex representation of a quaternion matrix, discusses the consimilarity of quaternion matrices, and obtains a relation between consimilarity and similarity of quaternion matrices. It sets up an algebraic bridge between consimilarity and similarity, and turns the theory of consimilarity of quaternion matrices into that of ...
Tongsong Jiang, Xuehan Cheng, Sitao Ling, Fan Min   +3 more
wiley   +1 more source

Some Equivalence Relations and Results over the Commutative Quaternions and Their Matrices

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
In this paper, we give some equivalence relations and results over the commutative quaternions and their matrices. In this sense, consimilarity, semisimilarity, and consemisimilarity over the commutative quaternion algebra and commutative quaternion ...
Kosal Hidayet Huda, Tosun Murat
doaj   +1 more source

An Algorithm for Coneigenvalues and Coneigenvectors of Quaternion Matrices

Advances in Applied Clifford Algebras, 2014
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Ling, Sitao, Cheng, Xuehan, Jiang, Tongsong   +2 more
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Theorems of the Hoffman-Wielandt type for the coneigenvalues of complex matrices

Doklady Mathematics, 2009
\textit{A. J. Hoffman} and \textit{H. W. Wielandt} [Duke Math. J. 20, 37--39 (1953; Zbl 0051.00903)] proved that if \(A\) and \(B\) are normal matrices of order \(n\) having the eigenvalues \(\alpha _1,\alpha _2,\dots ,\alpha _n\) and \(\beta _1,\beta _2,\dots ,\beta _n\) respectively, then there exists a permutation \(\pi\) of the indices \(1,2,\dots ,
Ikramov, Kh. D., Nesterenko, Yu. R.
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Decomplexification of eigenvalue and coneigenvalue problems

Journal of Mathematical Sciences, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An economical algorithm for calculating the coneigenvalues of complex matrices that are self-adjoint with respect to the symplectic metric

Doklady Mathematics, 2013
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